Defeitos secantes de variedades de segre-veronese via projeções osculadoras

Abstract

The problem of secant defectivity consists in studying the dimension of the h-secant variety of an algebraic variety. We say that an algebraic variety is h-defective when its h-secant variety does not have the expected dimension. In this work we will study the secant defectivity of the Segre-Veronese varieties using the osculating spaces to determine the defect of the h-secant varieties.